The generator matrix

 1  1  1  1  1  1  1  1  3  1  1  1
 0  3 24  0 21 24  0  9 21  9 24  0
 0  0  9  0  9  0 18 18 18  0 18  0
 0  0  0  9 18  9  9 18 18  0  0  0

generates a code of length 12 over Z27 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+48x^18+18x^20+88x^21+216x^22+72x^23+1090x^24+432x^25+72x^26+120x^27+20x^30+8x^33+2x^36

The gray image is a code over GF(3) with n=108, k=7 and d=54.
This code was found by Heurico 1.16 in 0.00378 seconds.